September 2018 1 55 Report

oblicz wartosc liczbowa wyrazenia wymiernego dla podanej wartosci liczbowej:

\frac{x^3-2x}{x^3+2\sqrt2x^2+2x}\ dla\ x=\frac{(\sqrt{\sqrt2+1}+\sqrt{\sqrt2-1})^2}{2}

odp:

x=√2+1

wartosc wyrazenia:

\frac{2\sqrt2-1}{7}


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